These are a few basic questions of mine in thermodynamics whose answer I can't find anywhere.
$1$. How does a quasi static process serve the purpose of thermodynamic equilibrium?A quasi static process is one which occurs slowly enough so that the gas is in thermodynamic equilibrium at every instant which means i have information about the thermodynamic parameters of the gas at all times. Thermodynamic equilibrium means all the particles of the gas are the at the same thermodynamic parameters at that instant $t$. But I can't get my head around this. For example,let us consider a piston of ideal gas. At time $t=0$,if I change any parameter and the gas takes some time $\Delta t$ to adjust, I now know the parameter of the time ($t=0+\Delta t$) but what about the parameters of the gas between the time $0$ to $\Delta t$? Since we are having information about the gas at only discrete time intervals,how are we able to draw $P-V$ graphs for continuous time intervals? What is the correct way to interpret this?
$2$. If a process is infinitely slow(quasi static),why does it have to be reversible? Meaning why can we return to an exact previous state only by this infinitely slow process?Why will a rapid process not be reversible?(will be helpful if this isn't answered using concept of entropy since it should have an elementary proof).
$3$. A reversible process has to be infinitely slow but adiabatic processes are rapid enough so that heat exchange doesn't occur. In that case,how can an adiatic process be reversible?
These questions have been on my mind since I started thermodynamics but never got the opportunity to have them cleared out.